2016 Volume 14 Issue ists30 Pages Pd_95-Pd_103
This paper considers position and attitude control of large flexible space structures composed of a number of subsystems(substructures) under the assumption of sensors and actuators collocation. The purpose of this paper is to propose a decentralized control scheme with fourth order local proper controllers using displacement/angle output, which makes both each closed-loop subsystem and an overall closed-loop system not only robustly stable but also optimal for quadratic cost functions. We first introduce a fourth order local proper controller for stabilizing each subsystem using only displacement/angle output. Then, we show each closed-loop subsystem becomes not only robustly stable against uncertain characteristic parameters such as mass, damping, and stiffness, but also optimal for a quadratic cost function by choosing parameters of each local proper controller appropriately. After stabilizing and optimizing each subsystem, we interconnect the closed-loop subsystems by flexible links to obtain an overall closed-loop system, and we show the overall closed-loop system also becomes robustly stable and optimal for a quadratic cost function. Finally, numerical examples are presented to show effectiveness of the proposed method.